{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# §5: Ploting\n",
    "Author: 赛琳伟\n",
    "\n",
    "## 5.1 2D plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from math import sqrt\n",
    "\n",
    "x = np.linspace(-np.pi, np.pi, 1000, endpoint=True)\n",
    "sin_ = np.sin(x)\n",
    "plt.plot(x, sin_, color='r', linewidth=1, label='sine')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cos_ = np.cos(x)\n",
    "plt.plot(x, sin_, color='r', lw=1, label='sine')\n",
    "plt.plot(x, cos_, color='blue', lw=2.5, linestyle='--', label='cosine')\n",
    "\n",
    "plt.xlim(-4, 4) #Axis range\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "           [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$\\pi/2$', r'$\\pi$']) #Axis scale\n",
    "plt.tick_params(axis='x', colors='g') #Scale modification\n",
    "plt.legend(loc='upper left') #legend\n",
    "plt.grid(color='k', linestyle=':')\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei'] #Normal display of Chinese\n",
    "plt.rcParams['axes.unicode_minus'] = False #Normal display symbol\n",
    "plt.title('sine and cosine curve')\n",
    "#plt.text(-0.3, 1.2, 'hello', fontsize=16)\n",
    "plt.axhline(y=sqrt(2)/2, xmin=-4, xmax=4, ls='--', color='g') #horizontal line\n",
    "\n",
    "#Move the border around to the center.\n",
    "ax = plt.gca()\n",
    "ax.spines['right'].set_color('none') #Hide two lines\n",
    "ax.spines['top'].set_color('none') #Hide two lines\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "ax.set_xlabel('time')\n",
    "\n",
    "t = 2*np.pi/3\n",
    "plt.plot([t,t],[0,np.cos(t)], color='blue', linewidth=2.5, linestyle='--') #Add a vertical bar.\n",
    "plt.scatter([t,], [np.cos(t),], 50, color='blue') #Add a special point.\n",
    "#Special point annotation\n",
    "plt.annotate(r'$\\cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$', xy=(t, np.cos(t)), xycoords='data',\n",
    "            xytext=(-90,-50), textcoords='offset points', fontsize=16,\n",
    "            arrowprops=dict(arrowstyle='->',connectionstyle='arc3,rad=0.2'))\n",
    "\n",
    "#shadow\n",
    "idx = np.where(np.logical_and(-np.pi/2<x, x<-np.pi/3))\n",
    "plt.fill_between(x[idx], sin_[idx], np.zeros(idx[0].shape), color='#ff0000')\n",
    "\n",
    "plt.axhspan(0.25, 0.5, facecolor='0.5')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.2 point and line type"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "markers = ['.', ',', 'o', 'v', '^', '<', '>', '1', '2', '3',\n",
    "           '4', '8', 's', 'p', 'P', '*', 'h', 'H', '+', 'x',\n",
    "           'X', 'D', 'd', '|', '_']\n",
    "for i in range(5):\n",
    "    for j in range(5):\n",
    "        plt.scatter(i, j, marker=markers[i*5+j])\n",
    "        plt.text(i+0.1, j, markers[i*5+j])\n",
    "\n",
    "line_style = ['-', '--', '-.', ':']\n",
    "#Blue, green, red, cyan, magenta, yellow, black, white\n",
    "colors = ['b', 'g', 'r', 'c', 'm', 'y', 'k', 'w']\n",
    "for i in range(4):\n",
    "    plt.axhline(y=i+0.5, xmin=0, xmax=4, ls=line_style[i], color=colors[i])\n",
    "    \n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.3 multi-plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Two y-axis graphs\n",
    "ax1 = plt.subplot(221) #More complicated subplot2grid \n",
    "x = np.arange(1,11)\n",
    "ax1.plot(x, np.exp(x))\n",
    "ax1.set_ylabel('exp')\n",
    "ax1t = ax1.twinx()\n",
    "ax1t.plot(x, np.log(x), 'ro-')\n",
    "ax1t.set_ylabel('log')\n",
    "ax1.legend(labels=('exp','log'), loc='upper left')\n",
    "\n",
    "#scatter diagram\n",
    "plt.subplot(223)\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "x = np.random.random(20)\n",
    "y = np.random.random(20)\n",
    "plt.scatter(x, y, s=x*1000, c='y', alpha=0.5, lw=2)\n",
    "\n",
    "#shape\n",
    "ax3 = plt.subplot(122)\n",
    "ax3.set_facecolor('y') #foreground color\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "circ = plt.Circle((0.7,0.2), 0.15, color='r', alpha=0.3)\n",
    "rect = plt.Rectangle((0.1,0.2), 0.2, 0.3, color='r')\n",
    "polygon = plt.Polygon([[0.45,0.45],[0.65,0.8],[0.2,0.7]])\n",
    "ax3.add_patch(circ)\n",
    "ax3.add_patch(rect)\n",
    "ax3.add_patch(polygon)\n",
    "\n",
    "plt.tight_layout() #Automatically control the outer edge of the image, otherwise the log will be blocked.\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.4 \n",
    "\n",
    "Vairous examples and source codes can be seen in https://matplotlib.org/2.0.2/gallery.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x648 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,9))\n",
    "\n",
    "#polar coordinates\n",
    "ax = plt.subplot(331, projection='polar')\n",
    "a = 1\n",
    "t = np.arange(0, 2*np.pi, 0.01)\n",
    "ax.plot(t,a*np.sin(3*t),'r-')\n",
    "ax.set_thetagrids(np.arange(0.0, 360.0, 30.0))\n",
    "ax.set_rgrids([])\n",
    "\n",
    "#bar chart\n",
    "plt.subplot(332)\n",
    "x_idx = np.arange(5) #The index of the column\n",
    "x = ('A', 'B', 'C', 'D', 'E')\n",
    "y1 = (20, 35, 30, 35, 27)\n",
    "y2 = (25, 32, 34, 20, 25)\n",
    "bar_width = 0.35\n",
    "#Offset, height, column width, transparency, color, legend\n",
    "bar1 = plt.bar(x_idx, y1, width=bar_width, alpha=0.4, color='b', label='legend1')\n",
    "bar2 = plt.bar(x_idx+bar_width, y2, width=bar_width, alpha=0.5, color='r', label='legend2')\n",
    "plt.xticks(x_idx+bar_width/2, x)\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(333)\n",
    "plt.axis('equal') #x and y axes are equally spaced.\n",
    "langs = ['C', 'C++', 'Java', 'Python', 'PHP']\n",
    "students = [23,17,35,29,12]\n",
    "#Draw a pie chart\n",
    "plt.pie(students, labels=langs, autopct='%1.2f%%')\n",
    "\n",
    "#picture\n",
    "plt.subplot(334)\n",
    "x,y = np.mgrid[-4:4:100j, -4:4:100j]\n",
    "z = np.sqrt(x**2+3*y**2)\n",
    "plt.imshow(z, cmap='hot')\n",
    "\n",
    "#\n",
    "plt.subplot(335)\n",
    "x = np.linspace(0.1, 2*np.pi, 41)\n",
    "y = np.exp(np.sin(x))\n",
    "plt.stem(x, y, use_line_collection=True)\n",
    "\n",
    "#correlation diagram\n",
    "ax6 = plt.subplot(336)\n",
    "x, y = np.random.randn(2, 100)\n",
    "plt.xcorr(x, y, usevlines=True, maxlags=50, normed=True, lw=2)\n",
    "plt.xticks(range(-50,51,25))\n",
    "plt.grid(True)\n",
    "\n",
    "#Autocorrelation diagram\n",
    "plt.subplot(339, sharex=ax6) #Share the x axis with figure 6\n",
    "plt.acorr(x, usevlines=True, normed=True, maxlags=50, lw=2)\n",
    "plt.grid(True)\n",
    "\n",
    "#contour map\n",
    "plt.subplot(337)\n",
    "n = 500\n",
    "x, y = np.meshgrid(np.linspace(-3, 3, n), np.linspace(-3, 3, n))\n",
    "z = (1 - x/2 + x**5 + y**3) * np.exp(-x**2 - y**2)\n",
    "cntr = plt.contour(x, y, z, 8, colors='black', linewidths=0.5)\n",
    "plt.clabel(cntr, inline_spacing=0.5, fmt='%.1f', fontsize=8)\n",
    "plt.contourf(x, y, z, 8, cmap='jet')\n",
    "\n",
    "#Three-phase diagram\n",
    "plt.subplot(338)\n",
    "import matplotlib.tri as mtri\n",
    "x = np.asarray([0, 1, 2, 3, 0.5, 1.5, 2.5, 1, 2, 1.5])\n",
    "y = np.asarray([0, 0, 0, 0, 1.0, 1.0, 1.0, 2, 2, 3.0])\n",
    "triangles = [[0, 1, 4], [1, 2, 5], [2, 3, 6], [1, 5, 4], [2, 6, 5], [4, 5, 7],\n",
    "             [5, 6, 8], [5, 8, 7], [7, 8, 9]]\n",
    "z = np.cos(1.5 * x) * np.cos(1.5 * y)\n",
    "triang = mtri.Triangulation(x, y, triangles)\n",
    "plt.tricontourf(triang, z)\n",
    "plt.triplot(triang, 'ko-') #Triangular mesh\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "plt.axis('off') #Do not display axes\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.5 3D ploting\n",
    "\n",
    "3D curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "ax = plt.axes(projection='3d')\n",
    "\n",
    "z = np.linspace(0, 1, 100)\n",
    "x = z * np.sin(20 * z)\n",
    "y = z * np.cos(20 * z)\n",
    "ax.plot3D(x, y, z, 'gray', c='g')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3D surface"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "x,y = np.mgrid[-4:4:100j, -4:4:100j]\n",
    "R = np.sqrt(x**2+y**2)\n",
    "z = np.sin(R)\n",
    "ax.plot_surface(x,y,z,rstride=1,cstride=1,cmap=plt.get_cmap('rainbow'))\n",
    "ax.set_zlim(-2,2)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.6 Animation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=\"864\" height=\"288\" controls autoplay>\n",
       "  <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAADluW1kYXQAAAKuBgX//6rcRem9\n",
       "5tlIt5Ys2CDZI+7veDI2NCAtIGNvcmUgMTUyIHIyODUxIGJhMjQ4OTkgLSBILjI2NC9NUEVHLTQg\n",
       "QVZDIGNvZGVjIC0gQ29weWxlZnQgMjAwMy0yMDE3IC0gaHR0cDovL3d3dy52aWRlb2xhbi5vcmcv\n",
       "eDI2NC5odG1sIC0gb3B0aW9uczogY2FiYWM9MSByZWY9MyBkZWJsb2NrPTE6MDowIGFuYWx5c2U9\n",
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       "AAAAAQAAAABMYXZmNTcuODMuMTAw\n",
       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from matplotlib.animation import FuncAnimation\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 4))\n",
    "xdata, ydata = [], []\n",
    "xdata2, ydata2 = [], []\n",
    "xdata3, ydata3 = [], []\n",
    "ln1, = ax.plot([], [], 'r-')\n",
    "ln2, = ax.plot([], [], 'b-')\n",
    "ln3, = ax.plot([], [], 'g-')\n",
    "\n",
    "a = 1\n",
    "\n",
    "\n",
    "def init():\n",
    "    ax.set_xlim(-1.6*a, 9*a)\n",
    "    ax.set_ylim(0, 2*a + 0.2)\n",
    "    ax.set_aspect(1)  #Coordinate axis equal scale\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "    ax.spines['left'].set_position(('data', 0))\n",
    "    return ln1,\n",
    "\n",
    "\n",
    "def update(t):\n",
    "    xdata.append(a * (t - np.sin(t)))\n",
    "    ydata.append(a * (1 - np.cos(t)))\n",
    "    ln1.set_data(xdata, ydata)\n",
    "    u = np.linspace(0, 2*np.pi, 128)\n",
    "    xdata2 = a * (t + np.cos(u))\n",
    "    ydata2 = a * (1 + np.sin(u))\n",
    "    ln2.set_data(xdata2, ydata2)\n",
    "    v = np.linspace(0, 1, 128)\n",
    "    xdata3 = a * (t - v*np.sin(t))\n",
    "    ydata3 = a * (1 - v*np.cos(t))\n",
    "    ln3.set_data(xdata3, ydata3)\n",
    "\n",
    "    return ln1, ln2, ln3\n",
    "\n",
    "\n",
    "ani = FuncAnimation(fig, update, frames=np.linspace(0, 8, 128),\n",
    "                    init_func=init, blit=True, interval=20, repeat=False)\n",
    "ani.save(u'旋轮线.gif', writer='imagemagick', fps=100)\n",
    "#plt.show()\n",
    "\n",
    "from IPython.display import HTML\n",
    "plt.close()\n",
    "HTML(ani.to_html5_video())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "Jupyter Notebook\n",
    "chapter_5xia (unsaved changes) Current Kernel Logo\n",
    "\n",
    "Python 3\n",
    "\n",
    "    File\n",
    "    Edit\n",
    "    View\n",
    "    Insert\n",
    "    Cell\n",
    "    Kernel\n",
    "    Widgets\n",
    "    Help\n",
    "\n",
    "§5: Ploting\n",
    "\n",
    "Author: 赛琳伟\n",
    "5.1 2D plot\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "from math import sqrt\n",
    "\n",
    "​\n",
    "\n",
    "x = np.linspace(-np.pi, np.pi, 1000, endpoint=True)\n",
    "\n",
    "sin_ = np.sin(x)\n",
    "\n",
    "plt.plot(x, sin_, color='r', linewidth=1, label='sine')\n",
    "\n",
    "plt.show()\n",
    "\n",
    "cos_ = np.cos(x)\n",
    "\n",
    "plt.plot(x, sin_, color='r', lw=1, label='sine')\n",
    "\n",
    "plt.plot(x, cos_, color='blue', lw=2.5, linestyle='--', label='cosine')\n",
    "\n",
    "​\n",
    "\n",
    "plt.xlim(-4, 4) #Axis range\n",
    "\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "\n",
    "           [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$\\pi/2$', r'$\\pi$']) #Axis scale\n",
    "\n",
    "plt.tick_params(axis='x', colors='g') #Scale modification\n",
    "\n",
    "plt.legend(loc='upper left') #legend\n",
    "\n",
    "plt.grid(color='k', linestyle=':')\n",
    "\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei'] #Normal display of Chinese\n",
    "\n",
    "plt.rcParams['axes.unicode_minus'] = False #Normal display symbol\n",
    "\n",
    "plt.title('sine and cosine curve')\n",
    "\n",
    "#plt.text(-0.3, 1.2, 'hello', fontsize=16)\n",
    "\n",
    "plt.axhline(y=sqrt(2)/2, xmin=-4, xmax=4, ls='--', color='g') #horizontal line\n",
    "\n",
    "​\n",
    "\n",
    "#Move the border around to the center.\n",
    "\n",
    "ax = plt.gca()\n",
    "\n",
    "ax.spines['right'].set_color('none') #Hide two lines\n",
    "\n",
    "ax.spines['top'].set_color('none') #Hide two lines\n",
    "\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "​\n",
    "\n",
    "ax.set_xlabel('time')\n",
    "\n",
    "​\n",
    "\n",
    "t = 2*np.pi/3\n",
    "\n",
    "plt.plot([t,t],[0,np.cos(t)], color='blue', linewidth=2.5, linestyle='--') #Add a vertical bar.\n",
    "\n",
    "plt.scatter([t,], [np.cos(t),], 50, color='blue') #Add a special point.\n",
    "\n",
    "#Special point annotation\n",
    "\n",
    "plt.annotate(r'$\\cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$', xy=(t, np.cos(t)), xycoords='data',\n",
    "\n",
    "            xytext=(-90,-50), textcoords='offset points', fontsize=16,\n",
    "\n",
    "            arrowprops=dict(arrowstyle='->',connectionstyle='arc3,rad=0.2'))\n",
    "\n",
    "​\n",
    "\n",
    "#shadow\n",
    "\n",
    "idx = np.where(np.logical_and(-np.pi/2<x, x<-np.pi/3))\n",
    "\n",
    "plt.fill_between(x[idx], sin_[idx], np.zeros(idx[0].shape), color='#ff0000')\n",
    "\n",
    "​\n",
    "\n",
    "plt.axhspan(0.25, 0.5, facecolor='0.5')\n",
    "\n",
    "​\n",
    "\n",
    "plt.show()\n",
    "\n",
    "5.2 point and line type\n",
    "\n",
    "markers = ['.', ',', 'o', 'v', '^', '<', '>', '1', '2', '3',\n",
    "\n",
    "           '4', '8', 's', 'p', 'P', '*', 'h', 'H', '+', 'x',\n",
    "\n",
    "           'X', 'D', 'd', '|', '_']\n",
    "\n",
    "for i in range(5):\n",
    "\n",
    "    for j in range(5):\n",
    "\n",
    "        plt.scatter(i, j, marker=markers[i*5+j])\n",
    "\n",
    "        plt.text(i+0.1, j, markers[i*5+j])\n",
    "\n",
    "​\n",
    "\n",
    "line_style = ['-', '--', '-.', ':']\n",
    "\n",
    "#Blue, green, red, cyan, magenta, yellow, black, white\n",
    "\n",
    "colors = ['b', 'g', 'r', 'c', 'm', 'y', 'k', 'w']\n",
    "\n",
    "for i in range(4):\n",
    "\n",
    "    plt.axhline(y=i+0.5, xmin=0, xmax=4, ls=line_style[i], color=colors[i])\n",
    "\n",
    "    \n",
    "\n",
    "plt.xticks([])\n",
    "\n",
    "plt.yticks([])\n",
    "\n",
    "​\n",
    "\n",
    "plt.show()\n",
    "\n",
    "5.3 multi-plot\n",
    "\n",
    "#Two y-axis graphs\n",
    "\n",
    "ax1 = plt.subplot(221) #More complicated subplot2grid \n",
    "\n",
    "x = np.arange(1,11)\n",
    "\n",
    "ax1.plot(x, np.exp(x))\n",
    "\n",
    "ax1.set_ylabel('exp')\n",
    "\n",
    "ax1t = ax1.twinx()\n",
    "\n",
    "ax1t.plot(x, np.log(x), 'ro-')\n",
    "\n",
    "ax1t.set_ylabel('log')\n",
    "\n",
    "ax1.legend(labels=('exp','log'), loc='upper left')\n",
    "\n",
    "​\n",
    "\n",
    "#scatter diagram\n",
    "\n",
    "plt.subplot(223)\n",
    "\n",
    "plt.xticks([])\n",
    "\n",
    "plt.yticks([])\n",
    "\n",
    "x = np.random.random(20)\n",
    "\n",
    "y = np.random.random(20)\n",
    "\n",
    "plt.scatter(x, y, s=x*1000, c='y', alpha=0.5, lw=2)\n",
    "\n",
    "​\n",
    "\n",
    "#shape\n",
    "\n",
    "ax3 = plt.subplot(122)\n",
    "\n",
    "ax3.set_facecolor('y') #foreground color\n",
    "\n",
    "plt.xticks([])\n",
    "\n",
    "plt.yticks([])\n",
    "\n",
    "circ = plt.Circle((0.7,0.2), 0.15, color='r', alpha=0.3)\n",
    "\n",
    "rect = plt.Rectangle((0.1,0.2), 0.2, 0.3, color='r')\n",
    "\n",
    "polygon = plt.Polygon([[0.45,0.45],[0.65,0.8],[0.2,0.7]])\n",
    "\n",
    "ax3.add_patch(circ)\n",
    "\n",
    "ax3.add_patch(rect)\n",
    "\n",
    "ax3.add_patch(polygon)\n",
    "\n",
    "​\n",
    "\n",
    "plt.tight_layout() #Automatically control the outer edge of the image, otherwise the log will be blocked.\n",
    "\n",
    "plt.show()\n",
    "\n",
    "5.4\n",
    "\n",
    "Vairous examples and source codes can be seen in https://matplotlib.org/2.0.2/gallery.html\n",
    "\n",
    "plt.figure(figsize=(12,9))\n",
    "\n",
    "​\n",
    "\n",
    "#polar coordinates\n",
    "\n",
    "ax = plt.subplot(331, projection='polar')\n",
    "\n",
    "a = 1\n",
    "\n",
    "t = np.arange(0, 2*np.pi, 0.01)\n",
    "\n",
    "ax.plot(t,a*np.sin(3*t),'r-')\n",
    "\n",
    "ax.set_thetagrids(np.arange(0.0, 360.0, 30.0))\n",
    "\n",
    "ax.set_rgrids([])\n",
    "\n",
    "​\n",
    "\n",
    "#bar chart\n",
    "\n",
    "plt.subplot(332)\n",
    "\n",
    "x_idx = np.arange(5) #The index of the column\n",
    "\n",
    "x = ('A', 'B', 'C', 'D', 'E')\n",
    "\n",
    "y1 = (20, 35, 30, 35, 27)\n",
    "\n",
    "y2 = (25, 32, 34, 20, 25)\n",
    "\n",
    "bar_width = 0.35\n",
    "\n",
    "#Offset, height, column width, transparency, color, legend\n",
    "\n",
    "bar1 = plt.bar(x_idx, y1, width=bar_width, alpha=0.4, color='b', label='legend1')\n",
    "\n",
    "bar2 = plt.bar(x_idx+bar_width, y2, width=bar_width, alpha=0.5, color='r', label='legend2')\n",
    "\n",
    "plt.xticks(x_idx+bar_width/2, x)\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "​\n",
    "\n",
    "plt.subplot(333)\n",
    "\n",
    "plt.axis('equal') #x and y axes are equally spaced.\n",
    "\n",
    "langs = ['C', 'C++', 'Java', 'Python', 'PHP']\n",
    "\n",
    "students = [23,17,35,29,12]\n",
    "\n",
    "#Draw a pie chart\n",
    "\n",
    "plt.pie(students, labels=langs, autopct='%1.2f%%')\n",
    "\n",
    "​\n",
    "\n",
    "#picture\n",
    "\n",
    "plt.subplot(334)\n",
    "\n",
    "x,y = np.mgrid[-4:4:100j, -4:4:100j]\n",
    "\n",
    "z = np.sqrt(x**2+3*y**2)\n",
    "\n",
    "plt.imshow(z, cmap='hot')\n",
    "\n",
    "​\n",
    "\n",
    "#\n",
    "\n",
    "plt.subplot(335)\n",
    "\n",
    "x = np.linspace(0.1, 2*np.pi, 41)\n",
    "\n",
    "y = np.exp(np.sin(x))\n",
    "\n",
    "plt.stem(x, y, use_line_collection=True)\n",
    "\n",
    "​\n",
    "\n",
    "#correlation diagram\n",
    "\n",
    "ax6 = plt.subplot(336)\n",
    "\n",
    "x, y = np.random.randn(2, 100)\n",
    "\n",
    "plt.xcorr(x, y, usevlines=True, maxlags=50, normed=True, lw=2)\n",
    "\n",
    "plt.xticks(range(-50,51,25))\n",
    "\n",
    "plt.grid(True)\n",
    "\n",
    "​\n",
    "\n",
    "#Autocorrelation diagram\n",
    "\n",
    "plt.subplot(339, sharex=ax6) #Share the x axis with figure 6\n",
    "\n",
    "plt.acorr(x, usevlines=True, normed=True, maxlags=50, lw=2)\n",
    "\n",
    "plt.grid(True)\n",
    "\n",
    "​\n",
    "\n",
    "#contour map\n",
    "\n",
    "plt.subplot(337)\n",
    "\n",
    "n = 500\n",
    "\n",
    "x, y = np.meshgrid(np.linspace(-3, 3, n), np.linspace(-3, 3, n))\n",
    "\n",
    "z = (1 - x/2 + x**5 + y**3) * np.exp(-x**2 - y**2)\n",
    "\n",
    "cntr = plt.contour(x, y, z, 8, colors='black', linewidths=0.5)\n",
    "\n",
    "plt.clabel(cntr, inline_spacing=0.5, fmt='%.1f', fontsize=8)\n",
    "\n",
    "plt.contourf(x, y, z, 8, cmap='jet')\n",
    "\n",
    "​\n",
    "\n",
    "#Three-phase diagram\n",
    "\n",
    "plt.subplot(338)\n",
    "\n",
    "import matplotlib.tri as mtri\n",
    "\n",
    "x = np.asarray([0, 1, 2, 3, 0.5, 1.5, 2.5, 1, 2, 1.5])\n",
    "\n",
    "y = np.asarray([0, 0, 0, 0, 1.0, 1.0, 1.0, 2, 2, 3.0])\n",
    "\n",
    "triangles = [[0, 1, 4], [1, 2, 5], [2, 3, 6], [1, 5, 4], [2, 6, 5], [4, 5, 7],\n",
    "\n",
    "             [5, 6, 8], [5, 8, 7], [7, 8, 9]]\n",
    "\n",
    "z = np.cos(1.5 * x) * np.cos(1.5 * y)\n",
    "\n",
    "triang = mtri.Triangulation(x, y, triangles)\n",
    "\n",
    "plt.tricontourf(triang, z)\n",
    "\n",
    "plt.triplot(triang, 'ko-') #Triangular mesh\n",
    "\n",
    "plt.xticks([])\n",
    "\n",
    "plt.yticks([])\n",
    "\n",
    "plt.axis('off') #Do not display axes\n",
    "\n",
    "​\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "5.5 3D ploting\n",
    "\n",
    "3D curve\n",
    "\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "​\n",
    "\n",
    "ax = plt.axes(projection='3d')\n",
    "\n",
    "​\n",
    "\n",
    "z = np.linspace(0, 1, 100)\n",
    "\n",
    "x = z * np.sin(20 * z)\n",
    "\n",
    "y = z * np.cos(20 * z)\n",
    "\n",
    "ax.plot3D(x, y, z, 'gray', c='g')\n",
    "\n",
    "​\n",
    "\n",
    "plt.show()\n",
    "\n",
    "3D surface\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "ax = Axes3D(fig)\n",
    "\n",
    "x,y = np.mgrid[-4:4:100j, -4:4:100j]\n",
    "\n",
    "R = np.sqrt(x**2+y**2)\n",
    "\n",
    "z = np.sin(R)\n",
    "\n",
    "ax.plot_surface(x,y,z,rstride=1,cstride=1,cmap=plt.get_cmap('rainbow'))\n",
    "\n",
    "ax.set_zlim(-2,2)\n",
    "\n",
    "​\n",
    "\n",
    "plt.show()\n",
    "\n",
    "5.6 Animation\n",
    "\n",
    "from matplotlib.animation import FuncAnimation\n",
    "\n",
    "​\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 4))\n",
    "\n",
    "xdata, ydata = [], []\n",
    "\n",
    "xdata2, ydata2 = [], []\n",
    "\n",
    "xdata3, ydata3 = [], []\n",
    "\n",
    "ln1, = ax.plot([], [], 'r-')\n",
    "\n",
    "ln2, = ax.plot([], [], 'b-')\n",
    "\n",
    "ln3, = ax.plot([], [], 'g-')\n",
    "\n",
    "​\n",
    "\n",
    "a = 1\n",
    "\n",
    "​\n",
    "\n",
    "​\n",
    "\n",
    "def init():\n",
    "\n",
    "    ax.set_xlim(-1.6*a, 9*a)\n",
    "\n",
    "    ax.set_ylim(0, 2*a + 0.2)\n",
    "\n",
    "    ax.set_aspect(1)  #Coordinate axis equal scale\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "    ax.spines['left'].set_position(('data', 0))\n",
    "\n",
    "    return ln1,\n",
    "\n",
    "​\n",
    "\n",
    "​\n",
    "\n",
    "def update(t):\n",
    "\n",
    "    xdata.append(a * (t - np.sin(t)))\n",
    "\n",
    "    ydata.append(a * (1 - np.cos(t)))\n",
    "\n",
    "    ln1.set_data(xdata, ydata)\n",
    "\n",
    "    u = np.linspace(0, 2*np.pi, 128)\n",
    "\n",
    "    xdata2 = a * (t + np.cos(u))\n",
    "\n",
    "    ydata2 = a * (1 + np.sin(u))\n",
    "\n",
    "    ln2.set_data(xdata2, ydata2)\n",
    "\n",
    "    v = np.linspace(0, 1, 128)\n",
    "\n",
    "    xdata3 = a * (t - v*np.sin(t))\n",
    "\n",
    "    ydata3 = a * (1 - v*np.cos(t))\n",
    "\n",
    "    ln3.set_data(xdata3, ydata3)\n",
    "\n",
    "​\n",
    "\n",
    "    return ln1, ln2, ln3\n",
    "\n",
    "​\n",
    "\n",
    "​\n",
    "\n",
    "ani = FuncAnimation(fig, update, frames=np.linspace(0, 8, 128),\n",
    "\n",
    "                    init_func=init, blit=True, interval=20, repeat=False)\n",
    "\n",
    "ani.save(u'旋轮线.gif', writer='imagemagick', fps=100)\n",
    "\n",
    "#plt.show()\n",
    "\n",
    "​\n",
    "\n",
    "from IPython.display import HTML\n",
    "\n",
    "plt.close()\n",
    "\n",
    "HTML(ani.to_html5_video())\n",
    "\n",
    "Your browser does not support the video tag.\n",
    "\n",
    "# Homework\n",
    "\n",
    "1. Draw an image of function $ y = x^2 + 2x - 1 $, with a red line color, a 2 line width, and a dashed line type. Set the x-axis range to -5 to 5, and label the x-axis scale as [-5, -3, -1, 1, 3, 5]. Add an icon titled \"Quadratic Function\", calculate the position of the vertices, and label them in the graph. The color of the vertices is blue, and the label text is \"Vertex\".\n",
    "\n",
    "​\n",
    "\n",
    "2. Draw an image of functions $y=e^{-x}cos(2πx)$ and $y=e^{-x}sin(2πx)$, requiring that the curve color of $y=e^{-x}cos(2πx)$ be green and the line width be 2; The color of the curve with $y=e^{-x}sin(2πx)$ is blue, the line width is 2.5, and the line type is dotted. Set the x-axis range between 0 and 3, and set the x-axis scale label to [0, 1, 2, 3]. Add legends with labels \" $y=e^{-x}cos(2πx)$ \" and \"$y=e^{-x}sin(2πx)$\", displaying grid lines in gray and dashed lines.\n",
    "\n",
    "​\n",
    "\n",
    "3. Draw a polar plot representing the function $r=2sin{3θ}$， among θ The range of is from 0 to 2 π. Draw the graph using a solid red line ('r - ') and add the icon titled' Polar Plot of $r=2sin{3θ}$ Set angle scale labels, including 12 scales, labeled as \"0\", \"30 °\", \"60 °\", \"90 °\", \"120 °\", \"150 °\", \"180 °\", \"210 °\", \"240 °\", \"270 °\", \"300 °\", \"330 °\".\n",
    "\n",
    "​\n",
    "\n",
    "4. Given the following data: Cities=[' A ',' B ',' C ',' D ']Temperature=[22, 25, 28, 24]Humidity=[60, 55, 70, 65]Draw a bar chart that represents temperature and humidity data for different cities. The distance between each group of columns should be moderate, and the transparency should be set to 0.7. Set the x-axis label to the city name, set the y-axis label to \"Values\", add the image title \"Temperature and Humidity in Different Cities\", and label the temperature and humidity.\n",
    "\n",
    "​\n",
    "\n",
    "5. Create a chart with multiple subplots, adding appropriate labels and titles to each plot, including the following subplots:\n",
    "\n",
    "​\n",
    "\n",
    "The first one: draw a pie chart with the following data, showing the proportion of sales of different fruits: fruit name: ['Apple', 'Banana', 'Cherry', 'Orange', 'Grape'], sales quantity: [30, 15, 20, 25, 10].\n",
    "\n",
    "​\n",
    "\n",
    "The second: draw a contour plot: x range: from -3 to 3, y range: from -3 to 3, function: $Z = (1 - \\frac{x}{2} + x^5 + y^3)e^{-x^2 - y^2}$.\n",
    "\n",
    "​\n",
    "\n",
    "The third: plot a heat map of $z =\\sqrt{x^2+y^2}$ where x and y are taken from intervals [-5, 5], respectively, and the grid size is 200x200.\n",
    "\n",
    "​\n",
    "\n",
    "The fourth: draw a triangle plot: x-coordinates: [0, 1, 2, 3, 0.5, 1.5, 2.5, 1, 2, 1.5], y-coordinates: [0, 0, 0, 0, 1.0, 1.0, 1.0, 2, 2, 3.0].\n",
    "\n",
    "​\n",
    "\n",
    "6. Create a 3D surface plot that represents the image of the function $z=x ^ 2+y ^ 2$ on the region [-2,2] x [-2,2], add the title '3D Surface Plot of $ z=x^2+y^2$, set appropriate colors, and add labels for the coordinate axes.\n",
    "\n"
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